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Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method

โœ Scribed by Georg Junker; Pinaki Roy

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
967 KB
Volume
270
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schro dinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line and the half line as well as on some finite interval are studied in detail.

๐Ÿ“œ SIMILAR VOLUMES

A class of exactly solvable potentials.
A class of exactly solvable potentials. I. One-dimensional Schrรถdinger equation
โœ Joseph N Ginocchio ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 662 KB

The one-dimensional Schrodinger equation is solved for a new class of potentials with varying depths and shapes. The energy eigenvalues are given in algebraic form as a function of the depth and shape of the potential. The eigenfunctions and scattering function are also given in closed form. For ce

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The three-dimensional Schriidinger equation with an effective mass is solved for a new class of angular momentum dependent potentials with varying depths and shapes. The energy eigenvalues and resonances are given in algebraic form as a function of the effective mass and depth and shape of the poten